Theory of word representable graphs have main applications in Combinatorics, Graph theory, Computer science and Algebra [1]}, [2]}, [3]}. This theory was first introduced by S. V. Kitaev and studied in detail [4]} by the motivation of Perkins semigroup in [5]}. A detailed survey is made by S. V. Kitaev and A. V. Pyatkin in [6]}. Fundamental properties of word representable graphs are discussed in [4]}, [8]}.
